Mark is a nurse anesthetist. He administers medication that puts people to sleep for surgeries and other invasive medical procedures. For healthy adults, the manufacturer recommends using a dose of 0.6mcg/kg, which means that Mark must give his patients 0.6mcg of medication for each kg they weight. If Mark's patient weights 60kg, how much medication should he administer?

Answers

Answer 1

Answer:

Quantity of medicine provide to patient = 36 mcg

Step-by-step explanation:

Given:

Quantity recommend = 0.6 mcg / kg

Weight of patient = 60 kg

Find:

Quantity of medicine provide to patient

Computation:

Quantity of medicine provide to patient = Weight of patient × Quantity recommend

Quantity of medicine provide to patient = 60 × 0.6

Quantity of medicine provide to patient = 36 mcg


Related Questions

a. How many ways can the letters of the word ALGORITHM be arranged in a row?
b. How many ways can the letters of the word ALGORITHM be arranged in a row if A and L must remain together (in order) as a unit?
c. How many ways can the letters of the word ALGORITHM be arranged in a row if the letters GOR must remain together (in order) as a unit?

Answers

Answer: a) 362880   b) 40320  c)720

Step-by-step explanation:

a) There are  9 letters in the word  ALGORITHM. Pls note that all 9 letters are different.

So to find the number of the ways which the letters can be arranged lets imagine , that in 1st place can stay any of 9 letters, in second place any of remaining 8 letters, in 3-rd place - any of 7 letters etc

So total number of the ways is

N= 9*8*7*6*5*4*3*2*1=9!=362880

b) If A and L must remain togetherin order AL ( LA is forbidden !) so we can imagine that AL is 1 special letter.

So total number of the letters is 8. Similarly to a) we can find the number of the ways as:

N=8*7*6*5*4*3*2*1=40320

c) Similarly to b) lets imagine that GOR is 1 special letter. So there are only 7 letters . Similarly to a) the number of the ways is

N=7*6*5*4*3*2=720

Step-by-step explanation:

a.362880 b.40320. c.720

HELP ME OUT! Triangle ABC is transformed by a rotation about the
origin, and then a translation.
The first transformation is a rotation of
degrees.
The second transformation is a translation that moves
units left and
units down.

Answers

Answer : 180 degrees

2 units left

5 units down

Your welcome ❤️

Answer:

The first transformation is a rotation of 180

degrees.

The second transformation is a translation that moves  

2 units left and 5 units down.

Step-by-step explanation:

Please help I’m confused.

Answers

Answer:

What is the most common month?  That is the answer

Step-by-step explanation:

Answer:

January is the most common month

Step-by-step explanation:

january=7

march=4

august=3

april=5

june=5

july=4

november=1

december=6

may=2

october=1

february=1

What is the answer? Step by step.

Answers

Answer:

420 in^2

Step-by-step explanation:

The area of the rectangle before removing the circles is

A = l*w

A = 24*22

   =528

The area of one of the circles is

A = pi r^2

The diameter is 6 so the radius is 6/2 = 3

  = 3.14 * ( 3) ^2

  =28.26

There are 4 circles

4* 28.26

113.04

Subtract the area of the 4 circles from the rectangle

528-113.04

414.96

415 in ^2

The best estimate is 420

Answer is 415in^2 and that is closest to 420 so the answer is H

Consider the first order differential equation
y′ + t/t2 − 25y = et/t − 9
For each of the initial conditions below, determine the largest interval a a. y(-7) = 6.4.
b. y(-2. 5) = -0.5.
c. y(0) = 0.
d. y(4.5) = -2.1.
e. y(14)= 1.7.

Answers

Answer:

For y(-7) =6.4

        The  largest interval  is  between  

                                       [tex]-\infty \to -5[/tex]

For   y(-2.5) = -0.5.

          The  largest interval  is  between  

                                        [tex]-5 \to 5[/tex]

For  y(0) = 0

          The  largest interval  is  between  

                                        [tex]-5 \to 5[/tex]

For y(4.5) = -2.1.

            The  largest interval  is  between  

                                        [tex]-5 \to 5[/tex]

For y(14)= 1.7.

                          The  largest interval  is  between  

                                        [tex]9 \to \infty[/tex]        

   

Step-by-step explanation:

From m the question we are told that

     The first order differential equation is   [tex]\frac{y' - t}{ t^2 -25} = \frac{e^t}{t-9}[/tex]

Now the first step is to obtain the domain of the differential equation

Now to do that let consider the denominators

  Now generally

                           [tex]t^2 - 25 \ne 0[/tex]                                           side calculation

                   =>     [tex]t\ne \pm5[/tex]                                                      [tex]t^2 - 25 = 0[/tex]

                                                                                          [tex]t = \pm 5[/tex]

Also              [tex]t-9\ne 0[/tex]                                                     [tex]t -9 = 0[/tex]

        =>          [tex]t\ne 9[/tex]                                                            [tex]t= 9[/tex]    

This means that this  first order differential equation is discontinuous at

       [tex]t = -5 , \ \ t = 5 \ \ t = 9[/tex]

  [tex]This \ is \ illustrated \ below \ \\ ------------------\\\. \ \ \ | \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ | \ \ \ \ \ \ \ \ \ \ \ \ \ |\\. \ -5 \ \ \ \ \ \ \ \ \ \ \ \ 5 \ \ \ \ \ \ \ \ \ \ \ \ \ 9[/tex]

So

For y(-7) =6.4

        The  largest interval  is  between  

                                       [tex]-\infty \to -5[/tex]

For   y(-2.5) = -0.5.

          The  largest interval  is  between  

                                        [tex]-5 \to 5[/tex]

For  y(0) = 0

          The  largest interval  is  between  

                                        [tex]-5 \to 5[/tex]

For y(4.5) = -2.1.

            The  largest interval  is  between  

                                        [tex]-5 \to 5[/tex]

For y(14)= 1.7.

                          The  largest interval  is  between  

                                        [tex]9 \to \infty[/tex]        

   

​(3 + 2i) + (4 – 5i) solve the equation .

Answers

Answer:

7 - 3 i

Step-by-step explanation:

Simplifying

(3 + -2i) + (4 + -5i) = 0

Remove parenthesis around (3 + -2i)

3 + -2i + (4 + -5i) = 0

Remove parenthesis around (4 + -5i)

3 + -2i + 4 + -5i = 0

Reorder the terms:

3 + 4 + -2i + -5i = 0

Combine like terms: 3 + 4 = 7

7 + -2i + -5i = 0

Combine like terms: -2i + -5i = -7i

7 + -7i = 0

Solving

7 + -7i = 0

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '-7' to each side of the equation.

7 + -7 + -7i = 0 + -7

Combine like terms: 7 + -7 = 0

0 + -7i = 0 + -7

-7i = 0 + -7

Combine like terms: 0 + -7 = -7

-7i = -7

Divide each side by '-7'.

i = 1

Simplifying

i = 1

how many gallons of a 80% antifreeze solution must be mixed with 70 gallons of 30% antifreeze to get a mixture that is 70% antifreeze

Answers

let x=gallons of 80% solution to be mixed
x+80=gallons go final 70% mixture
..
80%*x+30%*80=70%*(x+80)
.8x+24=.7x+56
.1x=32
x=320
gallons of 80% solution to be mixed=320

what is the common like term for 11 a^2v-12ab^2​

Answers

Answer:

  a

Step-by-step explanation:

There are no like terms here, hence no "common like term."

__

The terms have a greatest common factor of 'a', so the expression could be written as ...

  a(11av -12b^2)

The greatest common factor is 'a'.

Please.... I need answers for these fractions.

Answers

1 whole, 1 whole, 3/5, 1 whole,6/7, 1 whole,6/9, 8/10, 6/13, and 6/7 i think but im not positive


Help, Find the domain of the function

Answers

Answer:

(-∞,∞)

Step-by-step explanation:

This would form a roughly parabolic shape that extends infinitely along the x-axis.  It would reach a height of ³√2 on the y-axis.  Because it extends infinitely left and right, it would have an infinite domain.  In interval notation, this would be (-∞,∞)

Heather wants to purchase a pet from her local pet store. The pet store is offering 50% off rare exotic parrots. The original purchase price of a parrot is $956.50. Heather has a coupon for 10% off her entire purchase. How much will she pay if she also purchases a birdcage for $47.05?

$525.66
$478.25
$472.77
$903.20

Answers

C) $472.77

Step-by-step explanation: The parrot is half off so it goes from $956.50 to $478.25. Add the bird cage for $47.05 and she has a total of $523.3 to pay. The 10% off coupon makes her need to pay $472.77.

Answer:

$472.77

Step-by-step explanation:

To to this you would just do 50% of 956.50 so you would multiply 956.50 and 50 so you get 48,725 and divide by 100 so you get 487.25 as the price of the bird. So then you you would add 47.05 to the number so you get 525.30 and you would multiply by 10 then divide by 100 so you get 52.53 and subtract that from 525.30 so you get $472.77

An electronics store received two shipments of radios. Of the 250 radios in the first shipment, exactly 6% were damaged. In the second shipment, 4% of the radios were damaged. A total of 24 radios were damaged. How many radios in the combined shipments were NOT damaged? A. 466 B. 441 C. 451 D. 460

Answers

Answer:

Total number of not damaged = 451

C. 451

Step-by-step explanation:

In the first shipment, 6% of the 250 radios where damaged.

Number of damaged= 6/100 * 250

Number of damaged= 6*2.5

Number of damaged= 15 radios.

Number of not damaged= 250-15

Number of not damaged = 235 radios

In the second shipment, 4% of the radios were damaged

Let the number of second shipment= y

0.04 of y where damaged

Total number of radio damaged= 24

15 + 0.04y = 24

0.04y= 24-15

0.04y = 9

Y= 9/0.04

Y= 225

Number of radio in the second shipment= 225

Number of damaged in the second shipment= 0.04*225

Number of damaged in the second shipment= 9

Number of not damaged in the second shipment= 225-9

Number of damaged in the second shipment= 216

Total number of not damaged

= 235+216

= 451

Total number of not damaged= 451


Sebastian picked 21 white cabbages. He picked 12 red cabbages. How many cabbages did Sebastian pick

Answers

Answer:

Step-by-step explanation:

32 cabbages

21+12=32

Data sets A and B are dependent. Find sd.Assume that the paired data came from a population that is normally distributed.A. 1.73B. 1.21C. 1.32D. 1.89

Answers

Complete question :

A : 2.7, 3.7, 5.6, 2.6, 2.7

B : 5.1, 4.0, 3.9, 3.8, 5.2

Data sets A and B are dependent. Find sd.Assume that the paired data came from a population that is normally distributed.A. 1.73B. 1.21C. 1.32D. 1.89

Answer: A.1.73

Step-by-step explanation:

Given the data:

A : 2.7, 3.7, 5.6, 2.6, 2.7

B : 5.1, 4.0, 3.9, 3.8, 5.2

Difference betweenA and B (A - B) :

Xd = (A - B) = - 2.4, -0.3, 1.7, - 1.2, - 2.5

Sum of (A - B) = Σ Xd = (-2.4 + (-0.3) + 1.7 + (-1.2) + (-2.5) = - 4. 7

Md = ΣXd / n = - 4.7 / 5 = - 0.94

Xd - Md = (-2.4 + 0.94), (-0.3 + 0.94), (1.7 + 0.94), (-1.2 + 0.94), (-2.5 + 0.94)

(Xd - Md) = - 1.46, 0.64, 2.64, - 0.26, - 1.56

(Xd - Md)^2 = (-1.46)^2 + 0.64^2 + 2.64^2 + (-0.26)^2 + (-1.56)^2

Σ(Xd - Md)^2 = (2.1316 + 0.4096 + 6.9696 + 0.0676 + 2.4336) = 12.012

Standard deviation = √[Σ(Xd - Md)^2 / (n-1)]

Standard deviation= √12.012 / 4

Standard deviation = 1.7329

Standard deviation= 1.73

Consider the ratio of 153 per 108. Write this ratio in different forms below. A ratio written as a reduced fraction: ____ A ration written as a decimal rounded to the hundredths: ___

Answers

Answer:

17/12 and 1.42

Step-by-step explanation:

Ratios can be used to compare values and also can be written  in various forms.

Given the following example

the ratio of 153 per 108.

153:108

A. this ratio can expressed in the reduced fraction as

dividing both the numerator and the denominator by a common factor of 3 will give

=153/108 = 51/36

we can further divide by a common factor of 3 to further reduce the ratio

= 51/36= 17/12

hence the ratio expressed as a reduced fraction is 17/12

B.  ration written as a decimal rounded to the hundredths:

A ratio written as a decimal rounded to the hundredths:

to express the ratio as a decimal we have to divide the numerator by the value of the denominator i.e 153/108= 1.4166

to the nearest hundredth we have 1

1.42

What is the y-intercept of the graph
of 3x - 4y = 12
Pls help

Answers

Answer:

Hey there!

3x-4y=12

-4y=-3x+12

y=3/4x-3

So the y-intercept is -3.

Let me know if this helps :)

Answer:

The y-intercept is at (0, -3).

Step-by-step explanation:

Where the graph intercepts the y axis x = 0 so we have the equation:

3(0) - 4y = 12

-4y = 12

y = 12/ -4

y = -3.

it’s more than one answer by the way

Answers

Answer:

Step-by-step explanation:

| 1) Simplify: 12+8/2x3-(42+3)
2) Simplify: 3
1 3
—+-
5
с
3) What is 23% of 80?
а
5/6
b
4) Using the image, name a
pair of corresponding angles.
I
5) Simplify: V169

Answers

Answer:

1 no. answer is -21

Step-by-step explanation:

According to BODMAS

12 + 8 / 2 * 3 - (42 + 3)

= 12 + 8 / 2 * 3 - 45

= 12 + 4 * 3 - 45

= 12 + 12 - 45

= 24 - 45

= -21

A photocopy of a polygon was reduced to 70% of its original size. Then, the copy was again reduced to 70% of its size.
a.is the second photocopy similar to the original?
b.what is the ratio of the corresponding sides of the second photocopy to the original?

Answers

Step-by-step explanation:

Step 1 of 4

a) Yes, since the photo copy, is same which is reduced by 80% it remains similar. Because the angles stay the same and the ratios responding sides are proportional.

The following is the figure:

a). Photocopy of a polygon reduced the size of the original polygon by

    70%.

    But the shape and angles of the the polygon remains unchanged.

    Therefore, all the photocopies will be similar to the original polygon.

b). Let the measure of a side of the original polygon measures 'x' unit.

    Size of the original polygon gets reduced by 70% in the photocopy.

    Then the measure of the side in the photocopy = x - (70% of x)

                                                                                    = [tex]x-\frac{70x}{100}[/tex]

                                                                                    = [tex]x-0.7x[/tex]

                                                                                    = [tex]0.3x[/tex] units

    Size of the second photocopy was reduced again by 70%.

  Therefore, measure of the side of the second polygon = [tex]0.3x-(\frac{70}{100}\times 0.3x)[/tex]

                                                                                              = [tex]0.3x-0.21x[/tex]

                                                                                              = [tex]0.09x[/tex] units

    Ratio of the corresponding sides of the second photocopy and the

    original = [tex]\frac{0.09x}{x}[/tex]

                  = 0.09 : 1

    Learn more,

    https://brainly.com/question/21393110

the sum of 14 and a number n is equal to 17. what is the number

Answers

Answer:

3

Step-by-step explanation:

14 + n = 17

you have to isolate n by subtracting 14

n = 3

Answer:

x=3

Step-by-step explanation:

14+x=17    subtract 14 from both sides and you get x=3

You want to go to graduate school, so you ask your math professor, Dr. Emmy Noether, for a letter of recommendation. You estimate that there is a 80% chance that you will get into a graduate program if you receive a strong recommendation, a 60% chance that you will get into a graduate program if you receive a moderately good recommendation, and 5% chance that you will get into a graduate program if you receive a weak recommendation. Furthermore, you estimate that the probabilities that a recommendation will be strong, moderately good, and weak are 0.7, 0.2, and 0.1, respectively. Based on these estimates, what is the probability that you will get into a graduate program. Given that you did receive an offer to attend a graduate program, what is the probability that you received a strong recommendation? Suppose you didn't receive an offer to attend a graduate program. Given that, what is the probability that you received a moderately good recommendation?

Answers

Answer:

a

  [tex]P(G) =  0.69[/tex]

b

  [tex]P(S | G) = 0.81[/tex]

c

  [tex]P(M|G') =  0.26[/tex]

Step-by-step explanation:

From the question we are told the

   The probability of getting into getting into graduated school if you receive a strong recommendation is  [tex]P(G |S) = 0.80[/tex]

   The probability of getting into getting into graduated school if you receive a moderately good recommendation is  [tex]P(G| M) =  0.60[/tex]

   The probability of getting into getting into graduated school if you receive a weak recommendation is  [tex]P(G|W) =  0.05[/tex]

   The probability of getting a strong recommendation is  [tex]P(S) =  0.7[/tex]

     The  probability of receiving a moderately good recommendation is [tex]P(M) =  0.2[/tex]

       The probability of receiving a weak recommendation is [tex]P(W) =  0.1[/tex]

      Generally  the probability that you will get into a graduate program is mathematically represented as

     [tex]P(G) =  P(S) *  P(G|S) + P(M) *  P(G|M) + P(W) *  P(G|W)[/tex]

=>   [tex]P(G) =  0.7 * 0.8 +  0.2 *  0.6 + 0.1 *  0.05[/tex]

=>   [tex]P(G) =  0.69[/tex]

Generally  given that you did receive an offer to attend a graduate program, what is the probability that you received a strong recommendation is mathematically represented as

      [tex]P( S|G) =  \frac{ P(S) *  P(G|S)}{ P(G)}[/tex]

=>    [tex]P(S|G) =  \frac{ 0.7 * 0.8 }{0.69}[/tex]

=>     [tex]P(S | G) = 0.81[/tex]

Generally given that you didn't receive an offer to attend a graduate program  the probability that you received a moderately good recommendation is mathematically represented as

        [tex]P(M|G') =  \frac{ P(M) *  (1- P(G|M))}{(1 - P(G))}[/tex]

         [tex]P(M| G') =  \frac{ 0.2 *  (1- 0.6)}{ (1 - 0.69)}[/tex]

         [tex]P(M|G') =  0.26[/tex]

 

Brainliest to best PLEASE!!

Answers

Step-by-step explanation:

This is the answer i guess thank me if its right

What is the product of the polynomials below?
(6x2-3x-6)(4x2 +5x+4)
A. 24x4 +18x2 – 15x2 - 42x-2
B. 24x4 +18X? – 15x? - 36x - 24
C. 24x4 +18x3 - 15x2 - 42x - 24
D. 24x4 +18x? - 15x2 - 36x-2

Answers

Answer:

C :) try the box method! it always works for alot of people but i prefer diatrubuative method

The GCF is 3x...
Express each term as the product of the GCF and its other factors.

15x^2+6x=3x(__)+3x(__)

Answers

Answer: 5x and 2

Explanation:

15x^2 + 6x
= 3x(5x) + 3x(2)

Which of the following numbers has the highest value? Select one
a. 0.97
b. 0.79
C 0.95
d. 0.89​

Answers

A. 0.97

It is A because all of the other choices are less than 0.97

The tank of a small airplane holds 48 gallons of fuel. Seven gallons will be used for takeoff and landing. While in the air, the plane will consume an average of 10 gallons of fuel per hour. What is the maximum number of hours the plane can remain in the air?

A. 5.5

B. 4.8

C. 6.0

D. 4.1

Answers

Step-by-step explanation:

If x is the number of hours, then:

48 = 10x + 7

41 = 10x

x = 4.1

Find the output, d, when the input, t, is 11. d= -20+11t d= ______

Answers

Answer:

d = 101

Step-by-step explanation:

d= -20+11t

Let t=11

  = -20 + 11(11)

  = -20 + 121

  101

Answer:

the output is 101

Step-by-step explanation:

d= -20+11t

in the question it is given that t=11

substituting t=11 in the given equation

d=-20+11(11)d=-20+121d=101

so the output is 99

hope it will help ^_^

1. The speed at which an automated assembly line produces a product follows a normal distribution with mean production time of 32.20 seconds and standard deviation of 1.05 seconds. A full production run from this line consists of 20 completed products. What is the probability that a full production run will take less than 32 seconds on average to produce?2. Recent homebuyers from a local developer allege that 30% of the houses this developer constructs have some major defect that will require substantial repairs. To test this allegation, we randomly sample 20 homes constructed by the developer and find that two of the homes did indeed have some major defect. If the allegation is correct, what is the probability of observing at most two defective homes out of a random sample of 20?3.It is believed that 15% of people who fly on commercial airliners are "very concerned" about the safety of the carrier they have chosen. If this is accurate, what is the probability that out of 150 randomly selected people who fly on commercial airliners, between 20 and 25 of them are "very concerned" about the safety of the carrier which they have chosen?

Answers

Answer: Probability = 0.2

Step-by-step explanation:

Given data:

Mean production time = 32.20 seconds

Standard deviation = 1,05seconds

probability that a full production run will take less than 32 seconds on average to produce

= P(Xbar<32)

= P(Z<-0.8518)

= 0.2

5.71 x 0.8 = 3.26 x 1.45 True or false Need answers quick!!

Answers

Answer:

False

Step-by-step explanation:

All you want to do is times 5.71 by 0.8. Once you do that, you'll get 4.568. Then you times 3.26 by 1.45 which gets you 4.727, 4.568 does not = 4.727 which makes the statement false.

In evaluating a double integral over a region D, a sum of iterated integrals was obtained as follows:

∬Df(x,y)dA=∫5_0∫(2/5)y_0 f(x,y)dxdy+∫7_5∫(7−y)_0 f(x,y)dxdy.

Sketch the region D and express the double integral as an iterated integral with reversed order of integration.

∫b_a∫g2(x)_g1(x) f(x,y)dydx

a= b=

g1(x)= g2(x)=

Answers

Answer

[tex]a=0[/tex], [tex]b=2[/tex]

[tex]g_1(x)=\frac{5x}{2}[/tex],  [tex]g_2(x)=7-x[/tex]

Step-by-step explanation:

Given that

[tex]\int \int Df(x,y)dA=\int_0 ^5\int _0 ^ {\frac {2y}{5}} f(x,y)dxdy+\int_5^7\int_0^{7-y} f(x,y)dxdy\; \cdots (i)[/tex]

For the term  [tex]\int_0 ^5\int _0 ^ {\frac {2y}{5}} f(x,y)dxdy[/tex].

Limits for [tex]x[/tex] is from [tex]x=0[/tex] to [tex]x=\frac {2y}{5}[/tex] and for [tex]y[/tex] is from [tex]y=0[/tex] to [tex]y=5[/tex]  and the region [tex]D[/tex], for this double integration is the shaded region as shown in graph 1.

Now, reverse the order of integration, first integrate with respect to [tex]y[/tex] then with respect to [tex]x[/tex] . So, the limits of [tex]y[/tex] become from [tex]y=\frac{5x}{2}[/tex] to [tex]y=5[/tex] and limits of [tex]x[/tex] become from [tex]x=0[/tex] to [tex]x=2[/tex] as shown in graph 2.

So, on reversing the order of integration, this double integration can be written as

[tex]\int_0 ^5\int _0 ^ {\frac {2y}{5}} f(x,y)dxdy=\int_0 ^2\int _ {\frac {5x}{2}}^5 f(x,y)dydx\; \cdots (ii)[/tex]

Similarly, for the other term  [tex]\int_5 ^7\int _0 ^ {7-y} f(x,y)dxdy[/tex].

Limits for [tex]x[/tex] is from [tex]x=0[/tex] to [tex]x=7-y[/tex] and limits for [tex]y[/tex] is from [tex]y=5[/tex] to [tex]y=7[/tex]  and the region [tex]D[/tex], for this double integration is the shaded region as shown in graph 3.

Now, reverse the order of integration, first integrate with respect to [tex]y[/tex] then with respect to [tex]x[/tex] . So, the limits of [tex]y[/tex] become from [tex]y=5[/tex] to [tex]y=7-x[/tex] and limits of [tex]x[/tex] become from [tex]x=0[/tex] to [tex]x=2[/tex] as shown in graph 4.

So, on reversing the order of integration, this double integration can be written as

[tex]\int_5 ^7\int _0 ^ {7-y} f(x,y)dxdy=\int_0 ^2\int _5 ^ {7-x} f(x,y)dydx\;\cdots (iii)[/tex]

Hence, from equations [tex](i)[/tex], [tex](ii)[/tex] and [tex](iii)[/tex] , on reversing the order of integration, the required expression is

[tex]\int \int Df(x,y)dA=\int_0 ^2\int _ {\frac {5x}{2}}^5 f(x,y)dydx+\int_0 ^2\int _5 ^ {7-x} f(x,y)dydx[/tex]

[tex]\Rightarrow \int \int Df(x,y)dA=\int_0 ^2\left(\int _ {\frac {5x}{2}}^5 f(x,y)+\int _5 ^ {7-x} f(x,y)\right)dydx[/tex]

[tex]\Rightarrow \int \int Df(x,y)dA=\int_0 ^2\int _ {\frac {5x}{2}}^{7-x} f(x,y)dydx\; \cdots (iv)[/tex]

Now, compare the RHS of the equation [tex](iv)[/tex] with

[tex]\int_a^b\int_{g_1(x)}^{g_2(x)} f(x,y)dydx[/tex]

We have,

[tex]a=0, b=2, g_1(x)=\frac{5x}{2}[/tex] and [tex]g_2(x)=7-x[/tex].

The required values are,

[tex]a=0\\b=2\\g_1(x)=\frac{5x}{2} \\g_2(x)=7-x[/tex]

Double Integral:

Double integral is mainly used to find the surface area of a 2d figure, and it is denoted using ‘ ∫∫’. We can easily find the area of a rectangular region by double integration.

Given function is,

[tex]\int \int_Df(x,y)dA=\int_{0}^{5}\int_{0}^{2y}f(x,y)dxdy+\int_{5}^{7}\int_{0}^{7-y}f(x,y)dxdy[/tex]

We can write the double integral as a single term by reversing the order as,

[tex]\int_{a}^{b}\int_{g_1(x)}^{g_2(x)}f(x,y)dydx=\int_{0}^{2}\int_{\frac{5x}{2}}^{7-x}f(x,y)dydx)[/tex]

The region D is attached below.

Hence, we get the values,

[tex]a=0\\b=2\\g_1(x)=\frac{5x}{2} \\g_2(x)=7-x[/tex]

Learn more about the topic Double Integral:

https://brainly.com/question/18568839

Other Questions
Suppose a social networking site has roughly 1,000,000 users, and as eachmember signs up for an account, he or she is assigned a number. Which of these would result in the largest sample size using systematic sampling?A. Surveying every 25,000th numberB. Surveying every 25th numberC. Surveying every 250th numberD. Surveying every 2,500th number. Mrs. Brown bought 42 juice boxes. One-sixth of the juice boxes are cherry. How many cherry juice boxes did Mrs. Brown buy? please answer this I need it asap What two types of climate does most of Africa south of the Saharahave? What is an opportunity cost? How does the idea relate to the definition of economics? Which of the following decisions would entail the greatest opportunity cost: Allocating a square block in the heart of New York City for a surface parking lot or allocating a square block at the edge of a typical suburb for such a lot? Explain. Isabella decides to sell handmade stationery. She decides to sell 2 cards for $9. Which table below show the possible values of c, the number of cards Isabella sells, and d, the number of dollars she charges? The Porters food, clothing, and medical expenses are not fixed expenses. Explain what type of expense they are, and why. a trapezium with equal non parallel sides is called Imports and exports from a country belong to which geography theme? Please help this would mean a lot to me he solubility of oxygen gas in water at 25 C and 1.0 atm pressure of oxygen is 0.041 g/L. The solubility of oxygen in water at 2.5 atm and 25 C is ________ g/L. If M is the midpoint of XY, find the coordinates of X if M(-3, -1) and Y(-8, 6) A. (2.5, -5.5) B. (-5.5, 2.5) C. (0, 0) D. (2, -8) A marketing mix that is ________ to provide a good, service, or idea to prospective buyers is known as a marketing program. 4x+5x=63 Solving linear equations is Islam the one true religion? real answers only... THANKS! ! ! __ How many times does 12 go into 110 Which of the following dot plots shows data that is symmetrical? Which of the following is an example of a primary source?A. Scientific journalB. DictionaryC. EncyclopediaD. Newspaper Automobile repairs and maintenance costJana Padgett $900 last year. She drove 15,900miles. To the nearest cent, what was her costper mile? You are descending from the top of a 32-foot tall rock climbing wall at an average rate of -2.3 feet per minute. How many feet off the floor are you in 5 minutes? How many feet off the floor are you in 10 minutes? Approximately when will you reach the ground?